Due Apr 6, 2:59 AM EDT
Find the sum of all integers points in the domain of the function 2−arcsin(3∣x∣−4). If there is an infinite number of integer points, write π.
Right!
Which one is the correct statement for the sequence that does not have a limit?
Correct!
Fill in the blancs: "Let us prove that 2+3 is not *****. Assume the opposite: 2+3=nm, where $m$ is ***** and n is *****. Squaring both sides, we get 5+26=n2m2, or 6=21(n2m2−5). Since 21(n2m2−5) is ***** we get equivalent to the 2 case..."
Write missing words in the order of blancs, separate with semi-colon, for each blanc there should be only one word.
Assume that you have a graph of f(x) function and you need to plot g(x)=2−f(4+3x) using simple graph transitions. What is the right order of transitions:
Correct!
Consider an=n2+12n. Let us prove by the definition that the limit equals to 0. For ε=10−3 find the smallest N(ε) that ∣an∣<ε for all n>N.
Correct!
Compute
Correct!
Compute n→∞lim(1−n1)n
Please note that if you want to use mathematical constant e you need to write big 'E'.
Correct!